document.write( "Question 1038200: if p, q, r, and s are positive prime numbers,
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Algebra.Com's Answer #652918 by Edwin McCravy(20056) $\"\"$ $\"About$

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if p, q, r, and s are positive prime numbers,
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document.write( "is true if and only if\r\n" );
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document.write( "is true.\r\n" );
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document.write( "The Fundamental Theorem of Arithmetic states\r\n" );
document.write( "that every natural number greater than 1 can \r\n" );
document.write( "be written as a product of prime numbers, and \r\n" );
document.write( "this product is unique, except for the order of\r\n" );
document.write( "the factors. \r\n" );
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document.write( "There are 5 factors of primes on the left,\r\n" );
document.write( "so there must be the same 5 factors of \r\n" );
document.write( "primes on the right, so \r\n" );
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document.write( "n can only be 3.\r\n" );
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document.write( "In fact, though it wasn't asked for, \r\n" );
document.write( "p must equal r and q must equal s. \r\n" );
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document.write( "Edwin

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